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Finding the Fourth Proportional to 766.27, 1,149.30 and 396.31

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Solution

The fourth proportional to 766.27, 1,149.30 and 396.31 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.27 : 1,149.30 = 396.31 : x
  2. Step 2: Convert to fraction form
    766.27/1,149.30 = 396.31/x
  3. Step 3: Cross multiply
    766.27x = 1,149.30 × 396.31
  4. Step 4: Simplify right side
    766.27x = 455,479.08
  5. Step 5: Solve for x
    x = 455,479.08/766.27
  6. Step 6: Final answer
    x = 594.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.